Electron backscattering from dynamical impurities in a Luttinger liquid

Pablo San-Jose, Francisco Guinea, and Thierry Martin
Phys. Rev. B 72, 165427 – Published 26 October 2005

Abstract

Electron backscattering in a Luttinger liquid with an impurity is investigated in the presence of zero point motion of the phonon lattice. The impurity can mean either a mass defect, an elastic defect, or a pinning defect. The phonon spectrum is then affected by the presence of the defect, which enters in the renormalization group (RG) equations for backscattering. The RG equation becomes dependent on the energy cutoff for finite Debye frequency ωD giving rise to finite energy effects. We compute the local density of states and show how the renormalization group flow is affected by a finite ωD.

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  • Received 28 February 2005

DOI:https://doi.org/10.1103/PhysRevB.72.165427

©2005 American Physical Society

Authors & Affiliations

Pablo San-Jose*

  • Institut für Theoretische Festkörperphysik, Universität Karlsruhe, 76128 Karlsruhe, Germany

Francisco Guinea

  • Instituto de Ciencia de Materiales de Madrid, CSIC, Cantoblanco, E-28049 Madrid, Spain

Thierry Martin

  • Centre de Physique Théorique, Université de la Méditerranée, Case 907, 13288 Marseille, France

  • *Electronic address: pablo@tfp.uni-karlsruhe.de
  • Electronic address: paco.guinea@icmm.csic.es
  • Electronic address: martin@cpt.univ-mrs.fr

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Issue

Vol. 72, Iss. 16 — 15 October 2005

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